Nonlinear Equations: Methods, Models and Applications: (54 Progress in Nonlinear Differential Equations and Their Applications)

This volume contains research articles from the field of Nonlinear Differential Equa­ tions which result from the "Workshop on Nonlinear Analysis and Applications" held in Bergamo on July 9 to 13, 200l. This workshop was the third edition of a meeting which first took place in Campinas in 1996 and was founded in part upon scientific cooperation, already well initiated, between some participants, on specific problems in Nonlinear Analysis, and in part upon the whish to extend such cooperation to other researchers and to other topics. The scientific collaboration between Italy and Brazil is not new; it dates back at least to the thirties, and includes, among others, the name of Luigi Fantappie, just to mention only one of the earliest Italians that developed part of their scien­ tific activity in Brazil. If the first workshop had mainly an informal character, the second, which took place in 1998 again in Campinas, already had the structure and the breath of a true international congress. At this point it was the Italians turn to organize the third meeting. The main purpose of the conference was to provide a forum for the discussion of recent work and modern trends in various fields of Nonlinear Analysis. About 130 researchers coming from 17 countries attended the conference.

Table of Contents:
A Riemann Mapping Type Theorem in Higher Dimensions, Part I: The Conformally Flat Case with Umbilic Boundary.- Computable Information Content and a Simple Application to the Study of DNA.- Bounded Positive Critical Points of Some Multiple Integrals of the Calculus of Variations.- Hilbert Type Numbers for Polynomial ODE's.- S2-type Parametric Surfaces with Prescribed Mean Curvature and Minimal Energy.- Representations of Solutions of Hamilton-Jacobi Equations.- Nonexistence of Global Solutions of Higher Order Evolution Inequalities in ?N.- Morse Index Computations for a Class of Functionals Defined in Banach Spaces.- A Global Compactness Result for Elliptic Problems with Critical Nonlinearity on Symmetric Domains.- Variational Methods for Functionals with Lack of Strict Convexity.- Some Remarks on the Semilinear Wave Equation.- Unique Continuation Principles for Some Equations of Benjamin-Ono Type.- Well-posedness Results for the Modified Zakharov-Kuznetsov Equation.- A Class of Isoinertial One Parameter Families of Selfadjoint Operators.- Traveling Waves in Nonlinearly Supported Beams and Plates.- Solitary Waves Solutions of a Nonlinear Schrödinger Equation.- Nontrivial Solutions of a Class of Quasilinear Elliptic Problems Involving Critical Exponents.- Solutions of Semilinear Problems in Symmetric Planar Domains - ODE Behavior and Uniqueness of Branches.- Solutions of an Allen-Cahn Model Equation.- Some Equations of Non-geometrical Optics.- Speakers.